Free · Class 10 · 6 worksheets · answer keys · practise online · set 64
Arithmetic progression (AP) worksheets — Class 10
Free arithmetic progression worksheets for Class 10: common difference, nth term, which term, sum of n terms, is it an AP and word problems — with answers.
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An AP adds the same number each time: 3, 7, 11, 15… The common difference d = a₂ − a₁ = 4. nth term : aₙ = a + (n − 1)d. Example: the 10th term of 3, 7, 11… is 3 + 9 × 4 = 39.Sum of n terms : Sₙ = n/2 [2a + (n − 1)d] = n/2 (first term + last term).
Common difference (Class 10) Is it an AP? (Class 10) nth term (Class 10) Which term? (Class 10) Sum of n terms (Class 10) AP word problems (Class 10)
Common difference Class 10 · Worksheet 1 · set 64
Name: Date: Score: / 10
Find d.
Common difference of 18, 22, 26, 30, … Common difference of −12, −17, −22, −27, … Common difference of 19, 27, 35, 43, … Common difference of 10, 4, −2, −8, … Common difference of 19, 13, 7, 1, … Common difference of −16, −22, −28, −34, … Common difference of −3, 9, 21, 33, … Common difference of −3, 8, 19, 30, … Common difference of −9, −17, −25, −33, … Common difference of 3, 7, 11, 15, …
✅ Answer key — Common difference
d = 4 d = −5 d = 8 d = −6 d = −6 d = −6 d = 12 d = 11 d = −8 d = 4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 64
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 11, 9, 7, 5 an AP? Is 8, 9, 10, 11 an AP? Is 4, 9, 14, 19 an AP? Is −5, −11, −17, −23 an AP? Is −3, −1, 1, 3 an AP? Is −3, −6, −9, −12 an AP? Is 1, 3, 4, 7 an AP? Is 14, 12, 4, −1 an AP?
✅ Answer key — Is it an AP?
Yes, d = −2 Yes, d = 1 Yes, d = 5 Yes, d = −6 Yes, d = 2 Yes, d = −3 No No TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 64
Name: Date: Score: / 8
Find the term.
The 32nd term of 16, 15, 14, … The 24th term of 6, −2, −10, … The 33rd term of −1, −6, −11, … The 28th term of −17, −25, −33, … The 24th term of 0, −3, −6, … The 38th term of 1, −6, −13, … The 32nd term of 18, 24, 30, … The 34th term of 0, 5, 10, …
✅ Answer key — nth term
−15 −178 −161 −233 −69 −258 204 165 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 64
Name: Date: Score: / 8
Solve.
Which term of −5, −3, −1, … is 65? Which term of −12, −11, −10, … is 7? Which term of 19, 12, 5, … is −128? Which term of −2, 4, 10, … is 280? Which term of −13, −19, −25, … is −133? Which term of 17, 23, 29, … is 221? Which term of 8, 0, −8, … is −200? Which term of 14, 12, 10, … is −60?
✅ Answer key — Which term?
the 36th term the 20th term the 22nd term the 48th term the 21st term the 35th term the 27th term the 38th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 64
Name: Date: Score: / 8
Find the sum.
Sum of the first 10 terms of 2, −3, −8, … Sum of the first 12 terms of 18, 20, 22, … Sum of the first 18 terms of 15, 14, 13, … Sum of the first 16 terms of 4, 0, −4, … Sum of the first 10 terms of 0, 5, 10, … Sum of the first 11 terms of 6, 10, 14, … Sum of the first 10 terms of 8, 4, 0, … Sum of the first 11 terms of 12, 16, 20, …
✅ Answer key — Sum of n terms
−205 348 117 −416 225 286 −100 352 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 64
Name: Date: Score: / 6
Solve.
Aman saves ₹350 in the first month and ₹100 more every month after that. How much does he save in 7 months? Aman saves ₹300 in the first month and ₹70 more every month after that. How much does he save in 8 months? A hall has 16 seats in the first row and 3 more seats in each row than the row before. How many seats are in the 23rd row? Find the sum of all two-digit numbers that are multiples of 5. A hall has 24 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 18th row? Aman saves ₹250 in the first month and ₹100 more every month after that. How much does he save in 12 months?
✅ Answer key — AP word problems
₹4550 ₹4360 82 945 92 ₹9600 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Questions
What is the formula for the nth term of an AP? aₙ = a + (n − 1)d, where a is the first term and d the common difference.
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